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Finding the Fourth Proportional to 549.79, 820.76 and 530.57

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Solution

The fourth proportional to 549.79, 820.76 and 530.57 is: 792.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.79 : 820.76 = 530.57 : x
  2. Step 2: Convert to fraction form
    549.79/820.76 = 530.57/x
  3. Step 3: Cross multiply
    549.79x = 820.76 × 530.57
  4. Step 4: Simplify right side
    549.79x = 435,466.53
  5. Step 5: Solve for x
    x = 435,466.53/549.79
  6. Step 6: Final answer
    x = 792.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.